Lesson Worksheet: Order of Rotational Symmetry Mathematics

In this worksheet, we will practice finding the order of rotational symmetry of a geometric figure and its angle of rotation.

Q1:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • ANo
  • BYes, 90
  • CYes, 180
  • DYes, 60
  • EYes, 120

Q2:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • AYes, 60
  • BYes, 180
  • CYes, 120
  • DNo
  • EYes, 90

Q3:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • ANo
  • BYes, 60
  • CYes, 90
  • DYes, 120
  • EYes, 180

Q4:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • ANo
  • BYes, 90
  • CYes, 180
  • DYes, 120
  • EYes, 60

Q5:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • Ayes, 90
  • Byes, 120
  • Cyes, 60
  • Dno
  • Eyes, 180

Q6:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • AYes, 120
  • BYes, 60
  • CYes, 90
  • DNo
  • EYes, 180

Q7:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • ANo
  • BYes, 60
  • CYes, 180
  • DYes, 120
  • EYes, 90

Q8:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • ANo
  • BYes, 180
  • CYes, 90
  • DYes, 120
  • EYes, 60

Q9:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • AYes, 60
  • BYes, 90
  • CYes, 180
  • DYes, 120
  • ENo

Q10:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • AYes, 120
  • BNo
  • CYes, 60
  • DYes, 180
  • EYes, 90

Q11:

What is the order of rotational symmetry of a square?

Q12:

What is the order of rotational symmetry of a parallelogram?

Q13:

True or False: If a figure has one horizontal and one vertical line of symmetry, then it also has rotational symmetry.

  • ATrue
  • BFalse

Q14:

If you subtract the number of lines of symmetry of a regular hexagon from its order of rotational symmetry, what do you get?

Q15:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • AYes, 30
  • BYes, 90
  • CYes, 180
  • DNo
  • EYes, 45

Q16:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • AYes, 90
  • BYes, 180
  • CNo
  • DYes, 30
  • EYes, 45

Q17:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • AYes, 180
  • BYes, 45
  • CYes, 90
  • DYes, 30
  • ENo

Q18:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • AYes, 180
  • BNo
  • CYes, 90
  • DYes, 30
  • EYes, 45

Q19:

What is the order of rotational symmetry of a regular dodecagon?

Q20:

What is the order of rotational symmetry of a regular trapezoid?

Q21:

Does this picture have rotational symmetry? If yes, find the angle of rotation.

  • Ayes, 180
  • Byes, 60
  • Cyes, 120
  • Dno
  • Eyes, 90

Q22:

Determine whether the following statement is true or false: If a figure has one vertical line of symmetry, then it also has rotational symmetry.

  • ATrue
  • BFalse

Q23:

The following figure is an equilateral triangle.

Determine the order of rotational symmetry of the figure.

  • AOrder 6
  • BOrder 2
  • COrder 3
  • DOrder 4
  • EThe figure does not have rotational symmetry.

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